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Finding the Third Proportional to 10,696,216.50 and 16,095,516.75

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Solution

The third proportional to 10,696,216.50 and 16,095,516.75 is: 24,220,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696,216.50 : 16,095,516.75 = 16,095,516.75 : x
  2. Step 2: Convert to fraction form
    10,696,216.50/16,095,516.75 = 16,095,516.75/x
  3. Step 3: Cross multiply
    10,696,216.50x = 16,095,516.75 × 16,095,516.75
  4. Step 4: Simplify right side
    10,696,216.50x = 259,065,659,449,530.56
  5. Step 5: Solve for x
    x = 259,065,659,449,530.56/10,696,216.50
  6. Step 6: Final answer
    x = 24,220,308.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.